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A016145
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Expansion of 1/((1-3x)(1-10x)).
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0
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1, 13, 139, 1417, 14251, 142753, 1428259, 14284777, 142854331, 1428562993, 14285688979, 142857066937, 1428571200811, 14285713602433, 142857140807299, 1428571422421897, 14285714267265691, 142857142801797073
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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LINKS
| Index to sequences with linear recurrences with constant coefficients, signature (13,-30)
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FORMULA
| a(n) = (10^(n+1)-3^(n+1))/7 = 10*a(n-1)+3^n = 3*a(n-1)+10^n. - Henry Bottomley (se16(AT)btinternet.com), Jul 25 2001
a(n) = 13*a(n-1) - 30*a(n-2), n>=2. - Vincenzo Librandi, Mar 14 2011
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MATHEMATICA
| Join[{a=1, b=13}, Table[c=13*b-30*a; a=b; b=c, {n, 60}]] (*From Vladimir Joseph Stephan Orlovsky, Feb 01 2011*)
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CROSSREFS
| Sequence in context: A142896 A193700 A125425 * A193708 A195464 A064103
Adjacent sequences: A016142 A016143 A016144 * A016146 A016147 A016148
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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